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Finding the Fourth Proportional to 180,801.10, 271,201.65 and 110,817.10

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Solution

The fourth proportional to 180,801.10, 271,201.65 and 110,817.10 is: 166,225.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,801.10 : 271,201.65 = 110,817.10 : x
  2. Step 2: Convert to fraction form
    180,801.10/271,201.65 = 110,817.10/x
  3. Step 3: Cross multiply
    180,801.10x = 271,201.65 × 110,817.10
  4. Step 4: Simplify right side
    180,801.10x = 30,053,780,368.22
  5. Step 5: Solve for x
    x = 30,053,780,368.22/180,801.10
  6. Step 6: Final answer
    x = 166,225.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.